Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/10, 793/76, 934/542 quickly i.e. 27034163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/10, 793/76, 934/542 is 27034163.
LCM(73/10, 793/76, 934/542) = 27034163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/10,793/76,934/542
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 73,793,934
Least Common Multiple of Numerators i.e. LCM of 73,793,934 is 54068326.
GCF of Denominators means GCF of 10,76,542 as per the given fractions.
GCF of 10,76,542 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,793,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 54068326
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 73,793,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,793,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,793,934) x common factors =1 x 1 = 1
LCM(73,793,934) = ( 73 × 793 × 934 ) / 1
LCM(73,793,934) = 54068326 / 1
LCM(73,793,934) = 54068326
Lets's calculate GCF of 10,76,542
2 | 10, 76, 542 |
5, 38, 271 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54068326/2
Therefore the LCM of Fractions 73/10,793/76,934/542 is 27034163
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 10,76,542 . The biggest common factor number is the GCF number.
So the greatest common factor 10,76,542 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 73/10, 793/76, 934/542?
Answer: LCM of Numerators as per given numbers 73/10, 793/76, 934/542 is
LCM of Numerators i.e. for 73,793,934 is 54068326
GCF of denominators i.e. for 10,76,542 is 2.
Thus, LCM of Fractions is 27034163.Finally, LCM of Fractions for 73/10, 793/76, 934/542 is 27034163.